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Simplifying 3y(y + -3) + 5 = 3(y * y + -2y) + -2y Reorder the terms: 3y(-3 + y) + 5 = 3(y * y + -2y) + -2y (-3 * 3y + y * 3y) + 5 = 3(y * y + -2y) + -2y (-9y + 3y2) + 5 = 3(y * y + -2y) + -2y Reorder the terms: 5 + -9y + 3y2 = 3(y * y + -2y) + -2y Multiply y * y 5 + -9y + 3y2 = 3(y2 + -2y) + -2y Reorder the terms: 5 + -9y + 3y2 = 3(-2y + y2) + -2y 5 + -9y + 3y2 = (-2y * 3 + y2 * 3) + -2y 5 + -9y + 3y2 = (-6y + 3y2) + -2y Reorder the terms: 5 + -9y + 3y2 = -6y + -2y + 3y2 Combine like terms: -6y + -2y = -8y 5 + -9y + 3y2 = -8y + 3y2 Add '-3y2' to each side of the equation. 5 + -9y + 3y2 + -3y2 = -8y + 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 5 + -9y + 0 = -8y + 3y2 + -3y2 5 + -9y = -8y + 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 5 + -9y = -8y + 0 5 + -9y = -8y Solving 5 + -9y = -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 5 + -9y + 8y = -8y + 8y Combine like terms: -9y + 8y = -1y 5 + -1y = -8y + 8y Combine like terms: -8y + 8y = 0 5 + -1y = 0 Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5
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